Better resource utilization: A new DEA bi-objective resource reallocation approach considering environmental efficiency improvement

Abstract This study addresses the resource reallocation problem by proposing a data envelopment analysis (DEA) bi-objective approach that considers the environmental efficiency improvement of organizations (i.e., decision making units, DMUs). First, we introduce environmental efficiency evaluation models with and without the consideration of resource reallocation. Second, we prove that all the DMUs can be environmentally efficient after resource reallocation using a common-weight evaluation mechanism and build the resource reallocation possibility set. Third, a bi-objective resource reallocation model is proposed which considers both output target realizability and the match between the new reallocated resource of a DMU and the DMU’s pre-performance and operation size. Further, a trade-off model is adopted to solve the bi-objective model to obtain the final resource reallocation result. The proposed approach guarantees that all the DMUs are environmentally efficient after resource reallocation while maintaining the non-resource inputs at their current levels. It also contributes by considering both the DMUs’ ability of achieving the output targets and each DMU’s pre-performance which is an important indicator that reflects each DMU’s ability to transform input resources into output products. Finally, the proposed approach is applied for a case study of Chinese regional land transportation systems based on data of the year 2016.

[1]  Lei Fang Centralized resource allocation based on efficiency analysis for step-by-step improvement paths , 2015 .

[2]  R. Dyson,et al.  Reducing Weight Flexibility in Data Envelopment Analysis , 1988 .

[3]  Qingyuan Zhu,et al.  China's regional natural resource allocation and utilization: a DEA-based approach in a big data environment , 2017 .

[4]  Jianlin Wang,et al.  Better resource management: An improved resource and environmental efficiency evaluation approach that considers undesirable outputs , 2018 .

[5]  Alexandre Dolgui,et al.  Using common weights and efficiency invariance principles for resource allocation and target setting , 2017, Int. J. Prod. Res..

[6]  Min Yang,et al.  A DEA-based two-stage network approach for hotel performance analysis: An internal cooperation perspective , 2020 .

[7]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[8]  John E. Beasley,et al.  Allocating fixed costs and resources via data envelopment analysis , 2003, Eur. J. Oper. Res..

[9]  Yongjun Li,et al.  A data-driven prediction approach for sports team performance and its application to National Basketball Association , 2019 .

[10]  Lei Fang,et al.  Centralized resource allocation DEA models based on revenue efficiency under limited information , 2016, J. Oper. Res. Soc..

[11]  Qiong Xia,et al.  Effectiveness of the policy of circular economy in China: A DEA-based analysis for the period of 11th five-year-plan , 2014 .

[12]  Gongbing Bi,et al.  Resource allocation for branch network system with considering heterogeneity based on DEA method , 2018, Central Eur. J. Oper. Res..

[13]  Gento Mogi,et al.  A fuzzy analytic hierarchy process (AHP)/data envelopment analysis (DEA) hybrid model for efficiently allocating energy R&D resources: In the case of energy technologies against high oil prices , 2013 .

[14]  Ning Zhang,et al.  Environmental efficiency analysis of transportation system in China:A non-radial DEA approach , 2013 .

[15]  Jie Wu,et al.  DEA based resource allocation considering environmental factors , 2013, Math. Comput. Model..

[16]  Ruiyue Lin,et al.  Allocating fixed costs and common revenue via data envelopment analysis , 2011, Appl. Math. Comput..

[17]  A. Hadi-Vencheh,et al.  A DEA model for resource allocation , 2008 .

[18]  Liang Liang,et al.  CO2 emissions and energy intensity reduction allocation over provincial industrial sectors in China , 2016 .

[19]  Yue-Jun Zhang,et al.  Regional allocation of carbon emission quotas in China: Evidence from the Shapley value method , 2014 .

[20]  Liang Liang,et al.  Resource allocation of a parallel system with interaction consideration using a DEA approach: an application to Chinese input–output table , 2018, INFOR Inf. Syst. Oper. Res..

[21]  Pekka J. Korhonen,et al.  Resource Allocation Based on Efficiency Analysis , 2004, Manag. Sci..

[22]  Alireza Amirteimoori,et al.  Allocating fixed costs and target setting: A dea-based approach , 2005, Appl. Math. Comput..

[23]  Joe Zhu,et al.  A modified super-efficiency DEA model for infeasibility , 2009, J. Oper. Res. Soc..

[24]  Hong Yan,et al.  DEA models for resource reallocation and production input/output estimation , 2002, Eur. J. Oper. Res..

[25]  Lawrence M. Seiford,et al.  Modeling undesirable factors in efficiency evaluation , 2002, Eur. J. Oper. Res..

[26]  Lei Fang,et al.  Resource allocation based on the DEA model , 2008, J. Oper. Res. Soc..

[27]  Jie Wu,et al.  Resource allocation based on context-dependent data envelopment analysis and a multi-objective linear programming approach , 2016, Comput. Ind. Eng..

[28]  Joe Zhu,et al.  Fixed cost and resource allocation based on DEA cross-efficiency , 2014, Eur. J. Oper. Res..

[29]  Yi-Ming Wei,et al.  Exploring the impacts of the EU ETS emission limits on airline performance via the Dynamic Environmental DEA approach , 2016 .

[30]  Gongbing Bi,et al.  Carbon Emissions Abatement (CEA) allocation and compensation schemes based on DEA , 2015 .

[31]  Jie Wu,et al.  Environmental efficiency and technological progress of transportation industry-based on large scale data , 2019, Technological Forecasting and Social Change.

[32]  Y. Geng,et al.  Efficient allocation of CO2 emissions in China: a zero sum gains data envelopment model , 2016 .

[33]  Abraham Charnes,et al.  Programming with linear fractional functionals , 1962 .

[34]  Liang Liang,et al.  Target setting and allocation of carbon emissions abatement based on DEA and closest target: an application to 20 APEC economies , 2016, Natural Hazards.

[35]  A. Assaf,et al.  Using DEA models to jointly estimate service quality perception and profitability – Evidence from international airports , 2015 .

[36]  Zhongsheng Hua,et al.  Eco-efficiency analysis of paper mills along the Huai River: An extended DEA approach , 2007 .

[37]  Toshiyuki Sueyoshi,et al.  China's regional sustainability and diversified resource allocation: DEA environmental assessment on economic development and air pollution , 2015 .

[38]  Yongjun Li,et al.  Performance evaluation of participating nations at the 2012 London Summer Olympics by a two-stage data envelopment analysis , 2015, Eur. J. Oper. Res..

[39]  Qingyuan Zhu,et al.  Measuring energy and environmental efficiency of transportation systems in China based on a parallel DEA approach , 2016 .

[40]  Ray Y. Zhong,et al.  Allocation of emission permits using DEA: centralised and individual points of view , 2014 .

[41]  Chialin Chen,et al.  Balancing equity and cost in rural transportation management with multi-objective utility analysis and data envelopment analysis: A case of Quinte West , 2017 .

[42]  Jie Wu,et al.  DEA-based fixed cost allocation in two-stage systems: Leader-follower and satisfaction degree bargaining game approaches , 2020 .

[43]  S. Lozano,et al.  Centralized Resource Allocation Using Data Envelopment Analysis , 2004 .

[44]  Jie Wu,et al.  Resource reallocation and target setting for improving environmental performance of DMUs: An application to regional highway transportation systems in China , 2016, Transportation Research Part D: Transport and Environment.

[45]  Jie Wu,et al.  DEA cross-efficiency evaluation based on Pareto improvement , 2016, Eur. J. Oper. Res..

[46]  Qingyuan Zhu,et al.  Allocating a fixed cost across the decision making units with two-stage network structures , 2018, Omega.

[47]  Wei Yang,et al.  Resource allocation models' construction for the reduction of undesirable outputs based on DEA methods , 2013, Math. Comput. Model..

[48]  Lei Fang,et al.  A generalized DEA model for centralized resource allocation , 2013, Eur. J. Oper. Res..

[49]  Qingxian An,et al.  Allocation of carbon dioxide emission permits with the minimum cost for Chinese provinces in big data environment , 2017 .

[50]  Yan Luo,et al.  Resource allocation and target setting for parallel production system based on DEA , 2011 .

[51]  Yue-Jun Zhang,et al.  Carbon emission quota allocation among China’s industrial sectors based on the equity and efficiency principles , 2017, Ann. Oper. Res..

[52]  J. Pastor,et al.  Centralized resource allocation BCC models , 2009 .